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The Theory of Gödel
Record Type:
Language materials, printed : Monograph/item
Title/Author:
The Theory of Gödel/ by Carlo Cellucci.
Author:
Cellucci, Carlo.
Description:
IX, 159 p.online resource. :
Contained By:
Springer Nature eBook
Subject:
Logic. -
Online resource:
https://doi.org/10.1007/978-3-031-13417-3
ISBN:
9783031134173
The Theory of Gödel
Cellucci, Carlo.
The Theory of Gödel
[electronic resource] /by Carlo Cellucci. - 1st ed. 2022. - IX, 159 p.online resource. - Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 4702542-8292 ;. - Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,359.
First-Order Logic -- Completeness -- First-Order Theories -- Primitive Recursive Arithmetic -- Encoding -- Incompleteness -- Other Limitative Results -- Second-Order Logic -- Second-Order Arithmetic -- Appendix.
This book presents Gödel’s incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. Results are stated in the form most relevant for use in the philosophy of mathematics. An appendix considers their implications for Hilbert’s Program for the foundations of mathematics. The text is self-contained, all notions being explained in full detail, but of course previous exposure to the very first rudiments of mathematical logic will help. .
ISBN: 9783031134173
Standard No.: 10.1007/978-3-031-13417-3doiSubjects--Topical Terms:
558909
Logic.
LC Class. No.: BC1-199
Dewey Class. No.: 160
The Theory of Gödel
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